Fast Parameter Estimation for Cancer Cell Progression and Response to Therapy

DOI10.1007/978-3-319-59387-6_26zbMath1404.92105OpenAlexW2755242008MaRDI QIDQ4562640

Barbara Zubik-Kowal, Przemysław Stpiczyński

Publication date: 17 December 2018

Published in: Integral Methods in Science and Engineering, Volume 2 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59387-6_26

zbMATH Keywords

parallel computingtherapydevelopment of cancer cells

Mathematics Subject Classification ID

Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (68Q10) Medical applications (general) (92C50)

Uses Software

• CUDA
• OpenACC

Cites Work

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• Numerical simulations for tumor and cellular immune system interactions in lung cancer treatment
• Experimental versus numerical data for breast cancer progression
• Nonlinear modeling with mammographic evidence of carcinoma
• Finite-difference and pseudo-spectral methods for the numerical simulations of in vitro human tumor cell population kinetics
• Numerical algorithm for the growth of human tumor cells and their responses to therapy
• A mathematical model for analysis of the cell cycle in cell lines derived from human tumors
• Modeling complex living systems. A kinetic theory and stochastic game approach.
• Asymptotic analysis of a nonlinear integro-differential system modeling the immune response
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
• NUMERICAL SOLUTION OF A MODEL FOR BRAIN CANCER PROGRESSION AFTER THERAPY
• MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION
• A Fast Parallel Algorithm for Delay Partial Differential Equations Modeling the Cell Cycle in Cell Lines Derived from Human Tumors

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